Email this article Exact Cutting in Spaces of Cusp Forms with Characters
- Authors: Voskresenskaya G.V.1
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Affiliations:
- Korolev Samara National Research University
- Issue: Vol 103, No 5-6 (2018)
- Pages: 881-891
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150940
- DOI: https://doi.org/10.1134/S0001434618050243
- ID: 150940
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Abstract
Structure theorems for spaces of cusp forms with quadratic characters are presented. It is proved that such spaces of levels N ≠ 3, 17, 19 admit exact cutting if and only if the cutting function is a multiplicative η-product. The cases of the levels N = 3, 17, 19 are also studied.
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About the authors
G. V. Voskresenskaya
Korolev Samara National Research University
Author for correspondence.
Email: gsolvosk@mail.ru
Russian Federation, Samara
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